{ "id": "2409.09117", "version": "v1", "published": "2024-09-13T18:00:01.000Z", "updated": "2024-09-13T18:00:01.000Z", "title": "Berry phase effects on the transverse conductivity of Fermi surfaces and their detection via spin qubit noise magnetometry", "authors": [ "Mark Morgenthaler", "Inti Sodemann Villadiego" ], "comment": "5 pages (main text), 6 pages (supplementary), 2 figures", "categories": [ "cond-mat.mes-hall" ], "abstract": "The quasi-static transverse conductivity of clean Fermi liquids at long wavelengths displays a remarkably universal behaviour: it is determined solely by the radius of curvature of the Fermi surface and does not depend on details such as the quasi-particle mass or their interactions. Here we demonstrate that Berry phases do not alter such universality by directly computing the transverse conductivity of two-dimensional electronic systems with Dirac dispersions, such as those appearing in graphene and its chiral multilayer variants. Interestingly, however, such universality ceases to hold at wave-vectors comparable to the Fermi radius, where Dirac fermions display a vividly distict transverse conductivity relative to parabolic Fermions, with a rich wave-vector dependence that includes divergences, oscillations and zeroes. We discuss how this can be probed by measuring the $T_1$ relaxation time of spin qubits, such as NV centers or nuclear spins, placed near such 2D systems.", "revisions": [ { "version": "v1", "updated": "2024-09-13T18:00:01.000Z" } ], "analyses": { "keywords": [ "spin qubit noise magnetometry", "berry phase effects", "fermi surface", "distict transverse conductivity relative" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }